Some simple representations of the affine Lie superalgebra A(1)(1,0)

DOI10.1063/1.529611zbMath0849.17024OpenAlexW1987336667MaRDI QIDQ4033948

Yucai Su

Publication date: 16 May 1993

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529611

zbMATH Keywords

simple modulesaffine Lie superalgebraquasihighest weight module

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Graded Lie (super)algebras (17B70)

Cites Work

• Representation of the affine superalgebras \(A^{(4)}(0,2\ell)\), \(A^{(2)}(0,2\ell -1)\) and their subalgebras \(A_{2\ell}^{(2)}\), \(A^{(2)}_{2\ell -1}\) by vertex operators
• Infinite-dimensional algebras, Dedekind's \(\eta\)-function, classical Möbius function and the very strange formula
• Graded Lie algebras in mathematics and physics (Bose-Fermi symmetry)
• On the composition factors of Kac modules for the Lie superalgebras sl(m/n)
• A character formula for singly atypical modules of the lie superalgebra sl(m/n)
• Lie superalgebras

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